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____a car traveling at 37 m/s runs out of gas while traveling up a 7.0 ∘ slope.

User SMPLYJR
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Final answer:

The question is related to High School Physics, involving concepts such as energy conservation and angular acceleration in the context of cars. Using the principles of mechanics, one can calculate the final speeds and accelerations given certain initial conditions and physical parameters.

Step-by-step explanation:

The subject of the question pertains to Physics, specifically to the concepts of mechanics and energy conservation. The grade level is most likely High School, as it involves calculations that are typically covered in high school physics curriculum.

For instance, consider a toy car that gains altitude on a frictionless slope. Using the conservation of mechanical energy, one can find the final speed of the toy car after it has ascended the slope. If the car has an initial speed of 2.00 m/s and gains 0.180 m in altitude, energy conservation implies that the potential energy gained is equal to the kinetic energy lost. Thus, one can use the formulas for kinetic and potential energy to compute the car's final speed.

Analyzing another example of a car deaccelerating quickly, where the car decelerates at 7.00 m/s², the angular acceleration of the car's tires can be calculated using the relationship between linear and angular acceleration, considering the radius of the tires is 0.280 m.

User Kyle Heuton
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